The generalizations of micromagnetic exchange including higher order interactions are normally performed phenomenologically. In this paper we combine graph and gauge field theory to provide a new procedure to perform the continuum limit of the Heisenberg model. Our approach allows to simultaneously account for the symmetries of the crystal, the effect of spin-orbit coupling and their interplay. We obtain a micromagnetic theory accounting for the crystal symmetry constraints at all orders in exchange. The form of the micromagnetic Dzyaloshinskii-Moriya interaction in all 32 point groups is calculated at the first order. Copyright (C) 2022 The author(s)
Gauge theory applied to magnetic lattices / Di Pietro, A.; Ansalone, P.; Basso, V.; Magni, A.; Durin, G.. - In: EUROPHYSICS LETTERS. - ISSN 0295-5075. - 140:4(2022). [10.1209/0295-5075/aca0ba]
Gauge theory applied to magnetic lattices
A. Di Pietro;G. Durin
2022
Abstract
The generalizations of micromagnetic exchange including higher order interactions are normally performed phenomenologically. In this paper we combine graph and gauge field theory to provide a new procedure to perform the continuum limit of the Heisenberg model. Our approach allows to simultaneously account for the symmetries of the crystal, the effect of spin-orbit coupling and their interplay. We obtain a micromagnetic theory accounting for the crystal symmetry constraints at all orders in exchange. The form of the micromagnetic Dzyaloshinskii-Moriya interaction in all 32 point groups is calculated at the first order. Copyright (C) 2022 The author(s)File | Dimensione | Formato | |
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https://hdl.handle.net/11583/2982074